
will be linear if for any

and constants

, we have

Let

and

, and let

be any two scalars. Then

By definition of

, we have




Therefore

is a linear transformation.
Each day, 30 cents are added onto the fee.
-3 days would mean -3 * 30 cents on the fee, which is -90 cents, or -0.90.
and -2.5 charges of 30 cents would be -75 cents!
...but you can't have negative days or fees, so A and B are out of the question.
4.5 charges of 30 cents IS $1.35...
...but the library charges by day, of course.
8 charges of 30 cents would be $2.40, and both of these are realistic possible numbers.
Answer: -2y -8x = 4
Step-by-step explanation:
y - 6x - 11 - 2x - 3y = -7
y -3y -6x -2x = -7 +11
-2y -8x = 4
I am not sure if you wrote a repeating decimal with the line next to the 0.025 so comment if you need it. If it wasn't repeating it would be simply 1/40 if there is no repeating and you only want 0.025 is a fraction in simplest form.